Buckling of Asymmetrically Delaminated Three-Dimensional Twisted Composite Beam: Exact Solution
Publication: Journal of Engineering Mechanics
Volume 139, Issue 8
Abstract
The analytical solution of a buckling force of a pretwisted delaminated composite column with a proper consideration of the extensional and bending stiffness coupling and transverse shear effect is presented. The system of homogenous linearized differential equations with nonconstant coefficients obtained for this problem is solved with the help of the mathematical theory of analytic differential systems. The parametric studies are presented considering the effect of slenderness, the length of delamination, the asymmetrical position of delamination, and the transverse shear on the critical buckling force.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgements
The work of Aleš Kroflič was supported by the Slovenian Research Agency through the grant 1000-07-310191. The support is gratefully acknowledged.
References
Almond, E. A. (1970). “Delamination in banded steels.” Metall. Trans., 1(7), 2038–2041.
Chai, H., Babcock, C. D., and Knauss, W. G. (1981). “One dimensional modeling of failure in laminated plates by delamination buckling.” Int. J. Solids Struct., 17(11), 1069–1083.
Challamel, N., Andrade, A., Camotim, D., and Milisavlevich, B. M. (2010). “Flexural-torsional buckling of cantilever strip beam-columns with linearly varying depth.” J. Eng. Mech., 136(6), 787–800.
Chen, F., and Qiao, P. (2011). “Buckling of delaminated bi-layer beam-columns.” Int. J. Solids Struct., 48(18), 2485–2495.
Chen, H. P. (1991). “Shear deformation theory for compressive delamination buckling and growth.” AIAA J., 29(5), 813–819.
Goldberg, J. L., and Schwartz, A. J. (1972). System of ordinary differential equations: An introduction, Harper and Row Publishers, New York.
Gu, H., and Chattopadhyay, A. (1999). “An experimental investigation of delamination buckling and postbuckling of composite laminates.” Compos. Sci. Technol., 59, 903–910.
Kordomateas, G. A., and Schmueser, D. W. (1988). “Buckling and postbuckling of delaminated composites under compressive loads including transverse shear effect.” AIAA J., 26(3–4), 337–343.
Kroflič, A., Saje, M., Planinc, I., and Zupan, D. (2011). “Buckling of asymmetrically delaminated three-dimensional composite beam: Analytical solution.” Compos., Part B, Eng., 42(7), 2047–2054.
Kryžanowski, A., Saje, M., Planinc, I., and Zupan, D. (2008). “Analytical solution for buckling of asymmetrically delaminated Reissner’s elastic columns including transverse shear.” Int. J. Solids Struct., 45(3), 1051–1070.
Moradi, S., and Taheri, F. (1999). “Delamination buckling analysis of general laminated composite beams by differential quadrature method.” Compos., Part B, Eng., 30(5), 503–511.
Planinc, I., and Saje, M. (1999). “A quadratically convergent algorithm for the computation of stability points: The application of the determinant of the tangent stiffness matrix.” Comput. Methods Appl. Mech. Eng., 169(1–2), 89–105.
Raveendranath, P., Singh, G., and Pradhan, B. (2000). “Application of coupled polynomial displacement fields to laminated beam elements.” Comp. Struct., 78(5), 661–670.
Rodman, U., Saje, M., Planinc, I., and Zupan, D. (2008). “Exact buckling analysis of composite columns including multiple delamination and transverse shear.” Eng. Structures, 30(6), 1500–1514.
Short, G. J., Guild, F. J., and Pavier, M. J. (2001). “The effect of delamination geometry on the compressive failure of composite laminates.” Compos. Sci. Technol., 61(6), 2075–2086.
Simitses, G. J., Sallam, S., and Yin, W. L. (1985). “Effect of delamination of axially loaded homogeneous laminated plates.” AIAA J., 23(9), 1437–1445.
Volovoi, V. V., and Hodges, D. H. (2001). “Assessment of beam modeling methods for rotor blade applications.” Math. Comput. Model., 33(10–11), 1099–1112.
Yin, W. L., Sallam, S. N., and Simitses, G. J. (1986). “Ultimate axial load capacity of a delaminated beam-plate.” AIAA J., 24(1), 123–128.
Young, N. (1981). “The rate of convergence of a matrix power-series.” Linear Algebra Appl., 35(2), 261–278.
Yu, W., Hodges, D., Volovoi, V., and Cesnik, C. (2002). “On Timoshenko-like modeling of initially curved and twisted composite beams.” Int. J. Solids Struct., 39(19), 5101–5121.
Zupan, D., and Saje, M. (2006). “The linearized three-dimensional beam theory of naturally curved and twisted beams: The strain vectors formulation.” Comput. Methods Appl. Mech. Eng., 195(33–36), 4557–4578.
Information & Authors
Information
Published In
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Sep 8, 2011
Accepted: Jun 8, 2012
Published online: Jul 31, 2012
Published in print: Aug 1, 2013
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.